# Find General Solutions to a 2nd and 4th Order ODE

Not what you're looking for?

A) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t)

b) y''+y=tcost

##### Purchase this Solution

##### Solution Summary

General Solutions to a 2nd and 4th Order ODE are found. The solution is detailed and well presented.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

General solution to a 2nd + 4th order DE

________________________________________

a) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t)

Solution. The characteristic equation is

Factoring it, we get

So, we get

So, the general solution to ODE: y'''' - 11y''' +45y"-81y'+54y =0 is

where a,b,c and d are constants.

Now in order to get the general solution to

y'''' - 11y''' +45y"-81y'+54y = ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability